313405867008 has 352 divisors, whose sum is σ = 1052184201600. Its totient is φ = 91355185152.

The previous prime is 313405867001. The next prime is 313405867009. The reversal of 313405867008 is 800768504313.

313405867008 is a `hidden beast` number, since 31 + 34 + 0 + 586 + 7 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (313405867001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6806110 + ... + 6852002.

Almost surely, 2^313405867008 is an apocalyptic number.

313405867008 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313405867008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526092100800).

313405867008 is an abundant number, since it is smaller than the sum of its proper divisors (738778334592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313405867008 is a wasteful number, since it uses less digits than its factorization.

313405867008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45954 (or 45930 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 313405867008 in words is "three hundred thirteen billion, four hundred five million, eight hundred sixty-seven thousand, eight".